The background field method and critical vector models

Abstract

We use the background field method to systematically derive CFT data for the critical ${\varphi }^6$ vector model in three dimensions, and the Gross-Neveu model in dimensions $2\le d\le 4$. Specifically, we calculate the OPE coefficients and anomalous dimensions of various operators, up to next-to-leading order in the $1/N$ expansion.

arXiv commentv2: references added (published version)

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Cited by in corpus (6)

• The bi-conical vector model at $1/N$
• The tricritical Ising CFT and conformal bootstrap
• Long-range fermions and critical dualities
• CFT data in the Gross-Neveu model
• Conformal correlators in the critical $O(N)$ vector model
• Long-Range Vector Models at Large N